statistic problem categorization

1. Difference –
How do two or more groups (younger/older drivers) compare
with one another (in terms of their average driving speed)?
Central Tendency, Spread, or Symmetry?
Relationship –
Does an increase in one characteristic (age) cause a change
in another characteristic (flexibility)?
Goodness of Fit –
Does your claim (4 out of 5 dentist recommend flavored floss)
fit reality (3 out of 5 of my dentists recommend flavored floss)?

2. Let’s Practice!

3. Difference Relationship Goodness of Fit
Does employee moral increase significantly the
longer they work at this company? You sample a
group of 45 and generalize the results.

4. Difference Relationship Goodness of Fit
Does employee moral increase significantly the
longer they work at this company? You sample a
group of 45 and generalize the results.

5. Difference Relationship Goodness of Fit
Does employee moral increase significantly the
longer they work at this company? You sample a
group of 45 and generalize the results.
Relationship –
Does an increase in one characteristic (age) cause a change
in another characteristic (flexibility)?

6. Difference Relationship Goodness of Fit
Does employee moral increase significantly the
longer they work at this company? You sample a
group of 45 and generalize the results.
Relationship –
Does an increase in one characteristic (age) cause a change
in another characteristic (flexibility)?

7. Next Example

8. How do management and staff compare in
terms of work satisfaction? You sample both
groups and generalize the results.
Difference Relationship Goodness of Fit

9. How do management and staff compare in
terms of work satisfaction? You sample both
groups and generalize the results.
Difference Relationship Goodness of Fit

10. How do management and staff compare in
terms of work satisfaction? You sample both
groups and generalize the results.
Difference Relationship Goodness of Fit
Difference –
How do two or more groups (younger/older drivers) compare
with one another (in terms of their average driving speed)?

11. How do management and staff compare in
terms of work satisfaction? You sample both
groups and generalize the results.
Difference Relationship Goodness of Fit
Difference –
How do two or more groups (younger/older drivers) compare
with one another (in terms of their average driving speed)?

12. Final Example

13. A salesman claims that 95% of employees
increase their work productivity using his
software. You test that claim with a sample of 26
employees and find that 86% increase their
productivity.
Difference Relationship Goodness of Fit

14. A salesman claims that 95% of employees
increase their work productivity using his
software. You test that claim with a sample of 26
employees and find that 86% increase their
productivity.
Difference Relationship Goodness of Fit

15. A salesman claims that 95% of employees
increase their work productivity using his
software. You test that claim with a sample of 26
employees and find that 86% increase their
productivity.
Difference Relationship Goodness of Fit
Goodness of Fit –
Does your claim (4 out of 5 dentist recommend flavored floss)
fit reality (3 out of 5 of my dentists recommend flavored floss)?

16. A salesman claims that 95% of employees
increase their work productivity using his
software. You test that claim with a sample of
26 employees and find that 86% increase their
productivity.
Difference Relationship Goodness of Fit
Goodness of Fit –
Does your claim (4 out of 5 dentist recommend flavored floss)
fit reality (3 out of 5 of my dentists recommend flavored floss)?